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Finding the Third Proportional to 1,294,472 and 2,837,776

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Solution

The third proportional to 1,294,472 and 2,837,776 is: 6,221,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,472 : 2,837,776 = 2,837,776 : x
  2. Step 2: Convert to fraction form
    1,294,472/2,837,776 = 2,837,776/x
  3. Step 3: Cross multiply
    1,294,472x = 2,837,776 × 2,837,776
  4. Step 4: Simplify right side
    1,294,472x = 8,052,972,626,176
  5. Step 5: Solve for x
    x = 8,052,972,626,176/1,294,472
  6. Step 6: Final answer
    x = 6,221,048.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.